138650400 has 432 divisors, whose sum is σ = 587774880. Its totient is φ = 31449600.

The previous prime is 138650387. The next prime is 138650437. The reversal of 138650400 is 4056831.

138650400 is a `hidden beast` number, since 1 + 3 + 8 + 650 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1058335 + ... + 1058465.

It is an arithmetic number, because the mean of its divisors is an integer number (1360590).

Almost surely, 2^138650400 is an apocalyptic number.

138650400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887440).

138650400 is an abundant number, since it is smaller than the sum of its proper divisors (449124480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138650400 is a wasteful number, since it uses less digits than its factorization.

138650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 138650400 is about 11774.9904458560. The cubic root of 138650400 is about 517.5754983318.

The spelling of 138650400 in words is "one hundred thirty-eight million, six hundred fifty thousand, four hundred".